a_c = 104 * 0.1 = 1000 g Problem 3 : A protein solution has a concentration of 1 mg/mL and a viscosity of 0.01 Pa·s. The solution is to be filtered using a 0.2 μm pore size membrane. Calculate the flux through the membrane.
Here, we provide a solution manual for common bioseparation techniques: Problem 1 : A protein mixture is to be separated using size exclusion chromatography. The column has a void volume of 10 mL and a total volume of 50 mL. The protein has a molecular weight of 50 kDa and a Stokes radius of 5 nm. Calculate the retention volume of the protein.
For a typical pressure drop of 10^5 Pa:
where V_t = total volume, V_0 = void volume, and V_c = column volume.
ΔP = μ * R_m * J
ω = 104 rad/s
v_t = 10^-4 m/s
where ρ_c = cell density, ρ_m = medium density, d = cell diameter, ω = angular velocity, and μ = medium viscosity.